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Finding the Fourth Proportional to 4,155.67, 5,735.05 and 2,387.39

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Solution

The fourth proportional to 4,155.67, 5,735.05 and 2,387.39 is: 3,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.67 : 5,735.05 = 2,387.39 : x
  2. Step 2: Convert to fraction form
    4,155.67/5,735.05 = 2,387.39/x
  3. Step 3: Cross multiply
    4,155.67x = 5,735.05 × 2,387.39
  4. Step 4: Simplify right side
    4,155.67x = 13,691,804.01
  5. Step 5: Solve for x
    x = 13,691,804.01/4,155.67
  6. Step 6: Final answer
    x = 3,294.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.